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Finding the Third Proportional to 489,146 and 1,009,720

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Solution

The third proportional to 489,146 and 1,009,720 is: 2,084,315.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,146 : 1,009,720 = 1,009,720 : x
  2. Step 2: Convert to fraction form
    489,146/1,009,720 = 1,009,720/x
  3. Step 3: Cross multiply
    489,146x = 1,009,720 × 1,009,720
  4. Step 4: Simplify right side
    489,146x = 1,019,534,478,400
  5. Step 5: Solve for x
    x = 1,019,534,478,400/489,146
  6. Step 6: Final answer
    x = 2,084,315.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.